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Author : Koblitz
Publisher : Springer Science & Business Media
ISBN 13 : 1489966994
Total Pages : 366 pages
Book Rating : 4.4/5 (899 download)
Download or read book Number Theory Related to Fermat’s Last Theorem written by Koblitz and published by Springer Science & Business Media. This book was released on 2013-11-21 with total page 366 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Ian Stewart
Publisher : CRC Press
ISBN 13 : 143986408X
Total Pages : 334 pages
Book Rating : 4.4/5 (398 download)
Download or read book Algebraic Number Theory and Fermat's Last Theorem written by Ian Stewart and published by CRC Press. This book was released on 2001-12-12 with total page 334 pages. Available in PDF, EPUB and Kindle. Book excerpt: First published in 1979 and written by two distinguished mathematicians with a special gift for exposition, this book is now available in a completely revised third edition. It reflects the exciting developments in number theory during the past two decades that culminated in the proof of Fermat's Last Theorem. Intended as a upper level textbook, it
Author : Ian Stewart
Publisher : Springer
ISBN 13 : 9780412138409
Total Pages : 257 pages
Book Rating : 4.1/5 (384 download)
Download or read book Algebraic Number Theory written by Ian Stewart and published by Springer. This book was released on 1979-05-31 with total page 257 pages. Available in PDF, EPUB and Kindle. Book excerpt: The title of this book may be read in two ways. One is 'algebraic number-theory', that is, the theory of numbers viewed algebraically; the other, 'algebraic-number theory', the study of algebraic numbers. Both readings are compatible with our aims, and both are perhaps misleading. Misleading, because a proper coverage of either topic would require more space than is available, and demand more of the reader than we wish to; compatible, because our aim is to illustrate how some of the basic notions of the theory of algebraic numbers may be applied to problems in number theory. Algebra is an easy subject to compartmentalize, with topics such as 'groups', 'rings' or 'modules' being taught in comparative isolation. Many students view it this way. While it would be easy to exaggerate this tendency, it is not an especially desirable one. The leading mathematicians of the nineteenth and early twentieth centuries developed and used most of the basic results and techniques of linear algebra for perhaps a hundred years, without ever defining an abstract vector space: nor is there anything to suggest that they suf fered thereby. This historical fact may indicate that abstrac tion is not always as necessary as one commonly imagines; on the other hand the axiomatization of mathematics has led to enormous organizational and conceptual gains.
Author : Harold M. Edwards
Publisher : Springer Science & Business Media
ISBN 13 : 9780387950020
Total Pages : 436 pages
Book Rating : 4.9/5 (5 download)
Download or read book Fermat's Last Theorem written by Harold M. Edwards and published by Springer Science & Business Media. This book was released on 2000-01-14 with total page 436 pages. Available in PDF, EPUB and Kindle. Book excerpt: This introduction to algebraic number theory via the famous problem of "Fermats Last Theorem" follows its historical development, beginning with the work of Fermat and ending with Kummers theory of "ideal" factorization. The more elementary topics, such as Eulers proof of the impossibilty of x+y=z, are treated in an uncomplicated way, and new concepts and techniques are introduced only after having been motivated by specific problems. The book also covers in detail the application of Kummers theory to quadratic integers and relates this to Gauss'theory of binary quadratic forms, an interesting and important connection that is not explored in any other book.
Author : Gary Cornell
Publisher : Springer Science & Business Media
ISBN 13 : 1461219744
Total Pages : 592 pages
Book Rating : 4.4/5 (612 download)
Download or read book Modular Forms and Fermat’s Last Theorem written by Gary Cornell and published by Springer Science & Business Media. This book was released on 2013-12-01 with total page 592 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains the expanded lectures given at a conference on number theory and arithmetic geometry held at Boston University. It introduces and explains the many ideas and techniques used by Wiles, and to explain how his result can be combined with Ribets theorem and ideas of Frey and Serre to prove Fermats Last Theorem. The book begins with an overview of the complete proof, followed by several introductory chapters surveying the basic theory of elliptic curves, modular functions and curves, Galois cohomology, and finite group schemes. Representation theory, which lies at the core of the proof, is dealt with in a chapter on automorphic representations and the Langlands-Tunnell theorem, and this is followed by in-depth discussions of Serres conjectures, Galois deformations, universal deformation rings, Hecke algebras, and complete intersections. The book concludes by looking both forward and backward, reflecting on the history of the problem, while placing Wiles'theorem into a more general Diophantine context suggesting future applications. Students and professional mathematicians alike will find this an indispensable resource.
Author : Paulo Ribenboim
Publisher : Springer Science & Business Media
ISBN 13 : 1468493426
Total Pages : 306 pages
Book Rating : 4.4/5 (684 download)
Download or read book 13 Lectures on Fermat's Last Theorem written by Paulo Ribenboim and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 306 pages. Available in PDF, EPUB and Kindle. Book excerpt: Lecture I The Early History of Fermat's Last Theorem.- 1 The Problem.- 2 Early Attempts.- 3 Kummer's Monumental Theorem.- 4 Regular Primes.- 5 Kummer's Work on Irregular Prime Exponents.- 6 Other Relevant Results.- 7 The Golden Medal and the Wolfskehl Prize.- Lecture II Recent Results.- 1 Stating the Results.- 2 Explanations.- Lecture III B.K. = Before Kummer.- 1 The Pythagorean Equation.- 2 The Biquadratic Equation.- 3 The Cubic Equation.- 4 The Quintic Equation.- 5 Fermat's Equation of Degree Seven.- Lecture IV The Naïve Approach.- 1 The Relations of Barlow and Abel.- 2 Sophie Germain.- 3 Co.
Author : Michal Krizek
Publisher : Springer Science & Business Media
ISBN 13 : 0387218505
Total Pages : 280 pages
Book Rating : 4.3/5 (872 download)
Download or read book 17 Lectures on Fermat Numbers written by Michal Krizek and published by Springer Science & Business Media. This book was released on 2013-03-14 with total page 280 pages. Available in PDF, EPUB and Kindle. Book excerpt: The pioneering work of Pierre de Fermat has attracted the attention of mathematicians for over 350 years. This book provides an overview of the many properties of Fermat numbers and demonstrates their applications in areas such as number theory, probability theory, geometry, and signal processing. It is an ideal introduction to the basic mathematical ideas and algebraic methods connected with the Fermat numbers.
Author : Takeshi Saitō
Publisher : American Mathematical Soc.
ISBN 13 : 0821898485
Total Pages : 218 pages
Book Rating : 4.8/5 (218 download)
Download or read book Fermat's Last Theorem written by Takeshi Saitō and published by American Mathematical Soc.. This book was released on 2013-11-01 with total page 218 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book, together with the companion volume, Fermat's Last Theorem: The Proof, presents in full detail the proof of Fermat's Last Theorem given by Wiles and Taylor. With these two books, the reader will be able to see the whole picture of the proof to appreciate one of the deepest achievements in the history of mathematics.
Author : Paulo Ribenboim
Publisher : Springer Science & Business Media
ISBN 13 : 0387985085
Total Pages : 418 pages
Book Rating : 4.3/5 (879 download)
Download or read book Fermat’s Last Theorem for Amateurs written by Paulo Ribenboim and published by Springer Science & Business Media. This book was released on 2000-03-10 with total page 418 pages. Available in PDF, EPUB and Kindle. Book excerpt: In 1995, Andrew Wiles completed a proof of Fermat's Last Theorem. Although this was certainly a great mathematical feat, one shouldn't dismiss earlier attempts made by mathematicians and clever amateurs to solve the problem. In this book, aimed at amateurs curious about the history of the subject, the author restricts his attention exclusively to elementary methods that have produced rich results.
Author : Simon Singh
Publisher : HarperCollins UK
ISBN 13 : 0007381999
Total Pages : 370 pages
Book Rating : 4.0/5 (73 download)
Download or read book Fermat’s Last Theorem written by Simon Singh and published by HarperCollins UK. This book was released on 2012-11-22 with total page 370 pages. Available in PDF, EPUB and Kindle. Book excerpt: ‘I have a truly marvellous demonstration of this proposition which this margin is too narrow to contain.’
Author : Simon Singh
Publisher :
ISBN 13 : 9781857029222
Total Pages : pages
Book Rating : 4.0/5 (292 download)
Download or read book Fermat's Last Theorem written by Simon Singh and published by . This book was released on 1998-05 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: In 1963 a schoolboy browsing in his local library stumbled across a great mathematical problem: Fermat's Last Theorem, a puzzle that every child can now understand, but which has baffled mathematicians for over 300 years. Aged just ten, Andrew Wiles dreamed he would crack it.
Author : Jean-Pierre Serre
Publisher : CRC Press
ISBN 13 : 1439863865
Total Pages : 203 pages
Book Rating : 4.4/5 (398 download)
Download or read book Abelian l-Adic Representations and Elliptic Curves written by Jean-Pierre Serre and published by CRC Press. This book was released on 1997-11-15 with total page 203 pages. Available in PDF, EPUB and Kindle. Book excerpt: This classic book contains an introduction to systems of l-adic representations, a topic of great importance in number theory and algebraic geometry, as reflected by the spectacular recent developments on the Taniyama-Weil conjecture and Fermat's Last Theorem. The initial chapters are devoted to the Abelian case (complex multiplication), where one
Author : Yu. I. Manin
Publisher : Springer Science & Business Media
ISBN 13 : 3540276920
Total Pages : 519 pages
Book Rating : 4.5/5 (42 download)
Download or read book Introduction to Modern Number Theory written by Yu. I. Manin and published by Springer Science & Business Media. This book was released on 2006-03-30 with total page 519 pages. Available in PDF, EPUB and Kindle. Book excerpt: This edition has been called ‘startlingly up-to-date’, and in this corrected second printing you can be sure that it’s even more contemporaneous. It surveys from a unified point of view both the modern state and the trends of continuing development in various branches of number theory. Illuminated by elementary problems, the central ideas of modern theories are laid bare. Some topics covered include non-Abelian generalizations of class field theory, recursive computability and Diophantine equations, zeta- and L-functions. This substantially revised and expanded new edition contains several new sections, such as Wiles' proof of Fermat's Last Theorem, and relevant techniques coming from a synthesis of various theories.
Author : Simon Singh
Publisher : A&C Black
ISBN 13 : 1408835304
Total Pages : 266 pages
Book Rating : 4.4/5 (88 download)
Download or read book The Simpsons and Their Mathematical Secrets written by Simon Singh and published by A&C Black. This book was released on 2013-01-01 with total page 266 pages. Available in PDF, EPUB and Kindle. Book excerpt: From bestselling author of Fermat's Last Theorem, a must-have for number lovers and Simpsons fans
Author : Yves Hellegouarch
Publisher : Elsevier
ISBN 13 : 0080478778
Total Pages : 395 pages
Book Rating : 4.0/5 (84 download)
Download or read book Invitation to the Mathematics of Fermat-Wiles written by Yves Hellegouarch and published by Elsevier. This book was released on 2001-09-24 with total page 395 pages. Available in PDF, EPUB and Kindle. Book excerpt: Assuming only modest knowledge of undergraduate level math, Invitation to the Mathematics of Fermat-Wiles presents diverse concepts required to comprehend Wiles' extraordinary proof. Furthermore, it places these concepts in their historical context. This book can be used in introduction to mathematics theories courses and in special topics courses on Fermat's last theorem. It contains themes suitable for development by students as an introduction to personal research as well as numerous exercises and problems. However, the book will also appeal to the inquiring and mathematically informed reader intrigued by the unraveling of this fascinating puzzle. Rigorously presents the concepts required to understand Wiles' proof, assuming only modest undergraduate level math Sets the math in its historical context Contains several themes that could be further developed by student research and numerous exercises and problems Written by Yves Hellegouarch, who himself made an important contribution to the proof of Fermat's last theorem
Author : H. E. Rose
Publisher : Oxford University Press
ISBN 13 : 9780198523765
Total Pages : 420 pages
Book Rating : 4.5/5 (237 download)
Download or read book A Course in Number Theory written by H. E. Rose and published by Oxford University Press. This book was released on 1995 with total page 420 pages. Available in PDF, EPUB and Kindle. Book excerpt: This textbook covers the main topics in number theory as taught in universities throughout the world. Number theory deals mainly with properties of integers and rational numbers; it is not an organized theory in the usual sense but a vast collection of individual topics and results, with some coherent sub-theories and a long list of unsolved problems. This book excludes topics relying heavily on complex analysis and advanced algebraic number theory. The increased use of computers in number theory is reflected in many sections (with much greater emphasis in this edition). Some results of a more advanced nature are also given, including the Gelfond-Schneider theorem, the prime number theorem, and the Mordell-Weil theorem. The latest work on Fermat's last theorem is also briefly discussed. Each chapter ends with a collection of problems; hints or sketch solutions are given at the end of the book, together with various useful tables.
Author : Avner Ash
Publisher : Princeton University Press
ISBN 13 : 0691138710
Total Pages : 308 pages
Book Rating : 4.6/5 (911 download)
Download or read book Fearless Symmetry written by Avner Ash and published by Princeton University Press. This book was released on 2008-08-24 with total page 308 pages. Available in PDF, EPUB and Kindle. Book excerpt: Written in a friendly style for a general mathematically literate audience, 'Fearless Symmetry', starts with the basic properties of integers and permutations and reaches current research in number theory.
